Applications of Thin Orbits

Alex Kontorovich

Type: Book-Chapter

Publication Date: 2016-09-30

Citations: 6

DOI: https://doi.org/10.1017/9781316402696.007

Abstract

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Locations

arXiv (Cornell University) - View - PDF
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Works That Cite This (7)

Action	Title	Year	Authors
+	WHAT IS...a Thin Group?	2019	Alex Kontorovich D. D. Long Alexander Lubotzky Alan W. Reid
+ PDF Chat	Beyond expansion, III: Reciprocal geodesics	2019	Jean Bourgain Alex Kontorovich
+	On length sets of subarithmetic hyperbolic manifolds	2023	Alex Kontorovich Xin Zhang
+	On Trace Sets of Restricted Continued Fraction Semigroups	2012	Alex Kontorovich
+ PDF Chat	On Toric Orbits in the Affine Sieve	2019	Alex Kontorovich Jeffrey C. Lagarias
+ PDF Chat	Combinatorial growth in the modular group	2022	Ara Basmajian Robert Suzzi Valli
+	Continued fractions in function fields: polynomial analogues of McMullen's and Zaremba's conjectures	2017	Francesca Malagoli

Works Cited by This (23)

Action	Title	Year	Authors
+	Beyond Expansion II: Low-Lying Fundamental Geodesics	2014	Jean Bourgain Alex Kontorovich
+	Rational Quadratic Forms	1982	J. W. S. Cassels
+	Notes on Thin Matrix Groups	2012	Peter Sarnak
+	The fractional dimensional theory of continued fractions	1941	I. J. Good
+	Hyperbolic distribution problems and half-integral weight Maass forms	1988	William Duke
+ PDF Chat	Expander graphs in pure and applied mathematics	2011	Alexander Lubotzky
+	On Representations of Integers in Thin Subgroups of $${{\rm SL}_2({\mathbb {Z}})}$$	2010	Jean Bourgain Alex Kontorovich
+ PDF Chat	The subconvexity problem for Rankin–Selberg L-functions and equidistribution of Heegner points. II	2005	Gergely Harcos Philippe Michel
+ PDF Chat	An Improvement to Zaremba’s Conjecture	2015	ShinnYih Huang
+ PDF Chat	Recent progress on the quantum unique ergodicity conjecture	2011	Peter Sarnak